Romaniv Andriy Myhajlovych

Education: Ivan Franko National University of Lviv (specialty mathematics, 2006.),

Postgraduate of Pidstryhach Institute for APMM NAS of Ukraine (01.01.06 algebra and number theory, 2009 2012.).

Scientific degree: Candidate of Physical and Mathematical Sciences (01.01.06 algebra and number theory, 2014.)

Position: Junior Research ( 2015.)

In Institute: from 2006.

Research interests: linear algebra, matrix theory.

Some specialized publications:

  1. Romaniv A. M. The greatest common divisor and lest common multiple of one class of matrices // Visnyk L'viv Univ. Series Mekh.-Math. 2016. No. 82 P. 186191.
  2. Romaniv A. M. On the Smith normal form of the greatest common divisor of one class of matrices // Applied problems of mechanics and mathematics. 2015. No 13 P. 174181.
  3. Romaniv A. M., Shchedryk V. P. Least common right multiple of the matrices with one invariant factor different from the identity // J. Math. Sci. (N.Y.) 2015. 208. No 3 P. 344354.
  4. Romaniv A. M., Shchedryk V. P. Greatest common divisor of matrices one of which is disappear matrix // Ukrainian Math. J. 2014. 66, No3. P. 479485.
  5. Romaniv A. M. Monic divisors with one invariant factor of polynomial matrices // J. Math. Sci. (N.Y.) 2012. 181. No 3 P. 328339.
  6. Romaniv A. M., Shchedryk V. P. The greatest common left divisor and the least common right multiple of second order matrices // Math. Bull. Shevchenko Sci. Soc 2012. 9 P. 269284.
  7. Romaniv A. M. Monic divisors of polynomial matrices over infinite field // Algebra Discrete Math. 2011. 12, No 2. P. 94101.
  8. Romaniv A. M. Monic divisors with canonical diagonal form of polynomial matrices over infinite field // Matematychni Studii. 2011. Vol 36, No 1. P. 1220.
  9. Romaniv A. M., Shchedryk V. P. On nonassociated and monic divisors of polynomial matrices // Applied problems of mechanics and mathematics. 2008. No 6. P. 7279.

 

Thesis:

 

Romaniv A. M. Matrix divisors with prescribed canonical diagonal forms over polynomial and elementary divisor rings // Thesis for obtaining the candidate of physical and mathematical sciences degree. Ivano-Frankivsk, 2014. 20 p.

Publication of presentations at conferences:

  1. Romaniv A.M. The Smith normal form of the lest common multiples of one class of matrices // Book of abstracts of the XI International Algebraic Conference in Ukraine dedicated to the 75th anniversary of V.V.Kirichenko (July, 2017, Kyiv, Ukraine). P.115.
  2. Romaniv A. M. On decomposition of matrices from full linear group in the product matrices from certain its subsets // Conference of young Scientists Pidstryhach reading 2017. Lviv, Ukraine May 2325, 2017., Lviv. [Electronic resource]. Access mode: (http://www.iapmm.lviv.ua/chyt2017. ).
  3. Romaniv A. M. The Smith normal form of the greatest common divisor of one class of matrices // Conference of young Scientists Pidstryhach reading 2016. Lviv, Ukraine May 2527, 2016., Lviv. [Electronic resource]. Access mode: (http://www.iapmm.lviv.ua/chyt2016/theses/Romaniv.pdf).

4.     Romaniv A. M. On the divisibility of the second-order matrices // 10th International Skorobohatko mathematical conference. Drohobych, Ukraine, August 2528, 2015. Book of abstract. P. 135.

5.     Romaniv A. M. Greatest common left divisor of second ordre matrices // Conference of young Scientists Pidstryhach reading 2015. Lviv, Ukraine May 2628, 2015., Lviv. [Electronic resource]. Access mode: (http://www.iapmm.lviv.ua/chyt2015/theses/Romaniv.pdf).

6.     Romaniv A. M. On the least common right multiples of matrices over an adequate domain // International Algebraic Conference dedicated to 100 anniversary of L. A. Kaluzhnin in Ukraine, July 712, 2014. Book of abstract Kyiv: Taras Shevchenko National University of Kyiv, 2014. P. 72.

7.     Romaniv A. M. On least common right multiples of singular matrices // Conference of young Scientists Pidstryhach reading 2014. Lviv, Ukraine, May 2830, 2014., Lviv. [Electronic resource]. Access mode: (http://www.iapmm.lviv.ua/chyt2014/theses/Romaniv.pdf).

8.     Romaniv .. Greatest common left divisor of matrices one of which is disappear // 9th International Algebraic Conference in Ukraine. Lviv, Ukraine, Jule 512, 2013. Abstract of talks. Lviv: Ivan Franko National University of Lviv. P.156.

9.     A. M. Romaniv, V. P. Shchedryk On stable range of some class of matrices // International Conference Modern Problems of Mechanics and Mathematics. Lviv, Ukraine May 2125, 2013., Lviv. Abstract. Lviv: YA. S. Pidstryhach Institute for APMM NAS of Ukraine. P. 201202.

10.  Romaniv A. M., Shchedryk V. P. On Smith normal form of greatest common left divisor and least common right multiple of matrices // International mathematical conference: Abstract of talks Mykolayiv: Published by Mykolayiv V.O. Suchomlinsky National University, 2012. P. 116117.

11.  Romaniv A. M. On Smith normal form of greatest common left divisor of matrices // Conference materials of young Scientists Pidstryhach reading 2012. Lviv, Ukraine, May 2325, 2012. P 3235. Lviv. [Electronic resource]. Access mode: (http://www.iapmm.lviv.ua/chyt2012/materials/12.pdf).

12.  Romaniv A. M. Monic divisors of polynomial matrices over infinite field // IV Conference of young Scientists Pidstryhach with Modern Problems of Mechanics and Mathematics. Lviv, Ukraine, May 2427, 2011. Abstract. Lviv: YA. S. Pidstryhach Institute for APMM NAS of Ukraine. P. 264

13.  Romaniv A. M. On monic divisors of polynomial matrices // 8th International Algebraic Conference in Ukraine . Lugansk, Ukraine, July 5 12, 2011, Book of abstracts . Lugansk Taras Shevchenko National University, Ukraine P. 178.

1.     Romaniv A. M. On monic divisors of singular polynomial matrices // International Skorobohatko mathematical conference. Drohobych, Ukraine, September 1923, 2011. Abstracts P. 176.

2.     Romaniv A. M. On monic divisors with canonical diagonal form of polynomial matrices // Conference of young Scientists Pidstryhach reading 2010. Lviv, Ukraine, May 2526, 2010. Lviv. [Electronic resource]. Access mode: (http://www.iapmm.lviv.ua/chyt2010/materials/pc2010-02-R-2812.pdf).

3.     Romaniv A. M. On monic divisors with canonical diagonal form of polynomial matrices // XIII international Scientific Kravchuk mathematical conference. Kyiv, Ukraine , May 13-15, 2010: Conference materials. V.2 K. NTUU 320 p. (P. 237).

4.     Romaniv A. M. On some properties of a determinant matrix // Conference of young Scientists Pidstryhach with Modern Problems of Mechanics and Mathematics. Lviv, Ukraine, May 2527, 2009. P. 184185.

5.     Romaniv A. M. On regular divisors of polynomial matrices // 6th International Algebraic Conference in Ukraine. Kamyanets-Podilsky, Ukraine, July 17, 2007. P. 171172.

Phone service: (032) 258 96 22

E-mail: romaniv_a@ukr.net